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Aea of the region nclosed between the cu...

Aea of the region nclosed between the curves `x=y^2-1` and `x=|y|sqrt(1-y^2)` is

A

1

B

`4/3`

C

`2/3`

D

2

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Verified by Experts

The correct Answer is:
D
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MOTION-AREA UNDER THE CURVE-EXERCISE - 2 (LEVEL-I)
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  2. The area between the curve y = sec x and y-axis when 1le y le 2 is-

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  3. If the area bounded by the x-axis, the curve y=f(x), (f(x)gt0)" and th...

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  4. The area bounded by the curves 1y = x(1 – nx) , x = e^(–1) and positi...

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  5. Suppose y=f(x) and y=g(x) are two continuous functiond whose graphs in...

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  6. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle...

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  7. The area of the region bounded by the curves y= abs(x-1) and y = 3 -ab...

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  8. Aea of the region nclosed between the curves x=y^2-1 and x=|y|sqrt(1-y...

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  9. Area enclosed by the curves y= "lnx" , y = lnabs(x),y= abs(lnx)and y =...

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  10. Let y = g(x) be the inverse of a bijective mapping f : R rarr R f(x) =...

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  11. The value of a(agt0) for which the area bounded by the curves y=(x)/(6...

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  12. If the tangent to the curve y = 1 – x^(2) at x = alpha, where 0 lt alp...

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  13. Let 'a' be a positive constant number. Consider two curves C1: y=e^x...

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  14. A function y=f(x) satisfies the differential equation (dy)/(dx)-y= co...

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  15. The parabolas y^(2)=4x and x^(2)=4y divide the square region bounded b...

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  16. Let f be a non-negative continuous function such that the area bounded...

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  17. y=f(x) is a function which satisfies f(0)=0, f"''(x)=f'(x) and f'(0)=1...

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  18. Suppose g(x) = 2x + 1 and h(x) = 4x^(2) + 4x + 5 and h(x) = (fog)(x). ...

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  19. Let f(x) = x^(2) + 6x + 1 and R denote the set of points (x, y) in the...

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  20. A point P moves inside a triangle formed by A(0, 0), B(2, 2sqrt(3) ), ...

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